Magma V2.19-8 Tue Aug 20 2013 16:19:20 on localhost [Seed = 1343343958] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3446 geometric_solution 6.62259254 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490216996876 0.899620139305 3 4 5 0 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454685405579 0.700913938917 4 3 0 6 2310 3201 0132 0132 0 0 0 0 0 -1 1 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454685405579 0.700913938917 1 3 2 3 0132 2310 2310 3201 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.135514634892 1.047992675549 4 1 2 4 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670282100324 0.587116632754 6 6 6 1 1302 3012 0132 0132 0 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.046733645820 1.181593081570 5 5 2 5 1230 2031 0132 0132 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.046733645820 1.181593081570 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_0'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 12801/4006*c_1100_0^7 + 72889/4006*c_1100_0^6 + 40597/4006*c_1100_0^5 + 42182/2003*c_1100_0^4 + 102485/4006*c_1100_0^3 + 19337/2003*c_1100_0^2 + 77679/4006*c_1100_0 + 28881/4006, c_0011_0 - 1, c_0011_1 + 709/18027*c_1100_0^7 + 2966/18027*c_1100_0^6 - 6106/18027*c_1100_0^5 - 2731/6009*c_1100_0^4 + 9914/18027*c_1100_0^3 - 14263/18027*c_1100_0^2 + 9557/18027*c_1100_0 - 394/18027, c_0011_5 - 1, c_0101_0 - 376/2003*c_1100_0^7 - 1782/2003*c_1100_0^6 + 947/2003*c_1100_0^5 - 938/2003*c_1100_0^4 - 955/2003*c_1100_0^3 + 3106/2003*c_1100_0^2 - 1455/2003*c_1100_0 + 935/2003, c_0101_1 + 4498/18027*c_1100_0^7 + 20444/18027*c_1100_0^6 - 13108/18027*c_1100_0^5 + 7100/6009*c_1100_0^4 - 9085/18027*c_1100_0^3 - 9988/18027*c_1100_0^2 + 14966/18027*c_1100_0 - 19357/18027, c_0101_4 + 4498/18027*c_1100_0^7 + 20444/18027*c_1100_0^6 - 13108/18027*c_1100_0^5 + 7100/6009*c_1100_0^4 - 9085/18027*c_1100_0^3 - 9988/18027*c_1100_0^2 - 3061/18027*c_1100_0 - 19357/18027, c_1100_0^8 + 5*c_1100_0^7 - c_1100_0^6 + 3*c_1100_0^5 + 2*c_1100_0^4 - 4*c_1100_0^3 + 2*c_1100_0^2 - 4*c_1100_0 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB